{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:Y6Z3LQY2ABE4H74JSCT5VMZTGX","short_pith_number":"pith:Y6Z3LQY2","schema_version":"1.0","canonical_sha256":"c7b3b5c31a0049c3ff8990a7dab33335ec9c95e8762b88ed2fa287ce993d05a3","source":{"kind":"arxiv","id":"1208.2739","version":1},"attestation_state":"computed","paper":{"title":"Coulomb matrix elements for the impact ionization process in nanocrystals: the envelope function approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"{\\L}ukasz Marcinowski, Pawe{\\l} Machnikowski, Piotr Kowalski","submitted_at":"2012-08-14T00:49:48Z","abstract_excerpt":"We propose a method for calculating Coulomb matrix elements between exciton and biexciton states in semiconductor nanocrystals based on the envelope function formalism. We show that such a calculation requires proper treatment of the Bloch parts of the carrier wave functions which, in the leading order, leads to spin selection rules identical to those holding for optical interband transitions. Compared to the usual (intraband) Coulomb couplings, the resulting matrix elements are additionally scaled by the ratio of the lattice constant to the nanocrystal radius. As a result, the Coulomb couplin"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1208.2739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-08-14T00:49:48Z","cross_cats_sorted":[],"title_canon_sha256":"e505e12bb67779193329abff34e250bc485a7e18515abd1bfac5bd0a5bee943a","abstract_canon_sha256":"d30de6cba7b50a618921cdafeabb6de9f3e1f3bc0a781f1c9b8bcc6d8c776db9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:16.237104Z","signature_b64":"7foAHas2Rixf7LyXGk+yG3La0T/vk4+fPVkP6WBDEZxLRjcTIoXHBgEatXoCvro5Tw/NfuJk/uQDX/jamInLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7b3b5c31a0049c3ff8990a7dab33335ec9c95e8762b88ed2fa287ce993d05a3","last_reissued_at":"2026-05-18T01:55:16.236689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:16.236689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coulomb matrix elements for the impact ionization process in nanocrystals: the envelope function approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"{\\L}ukasz Marcinowski, Pawe{\\l} Machnikowski, Piotr Kowalski","submitted_at":"2012-08-14T00:49:48Z","abstract_excerpt":"We propose a method for calculating Coulomb matrix elements between exciton and biexciton states in semiconductor nanocrystals based on the envelope function formalism. We show that such a calculation requires proper treatment of the Bloch parts of the carrier wave functions which, in the leading order, leads to spin selection rules identical to those holding for optical interband transitions. Compared to the usual (intraband) Coulomb couplings, the resulting matrix elements are additionally scaled by the ratio of the lattice constant to the nanocrystal radius. As a result, the Coulomb couplin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2739","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1208.2739","created_at":"2026-05-18T01:55:16.236746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.2739v1","created_at":"2026-05-18T01:55:16.236746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2739","created_at":"2026-05-18T01:55:16.236746+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y6Z3LQY2ABE4","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y6Z3LQY2ABE4H74J","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y6Z3LQY2","created_at":"2026-05-18T12:27:27.928770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX","json":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX.json","graph_json":"https://pith.science/api/pith-number/Y6Z3LQY2ABE4H74JSCT5VMZTGX/graph.json","events_json":"https://pith.science/api/pith-number/Y6Z3LQY2ABE4H74JSCT5VMZTGX/events.json","paper":"https://pith.science/paper/Y6Z3LQY2"},"agent_actions":{"view_html":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX","download_json":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX.json","view_paper":"https://pith.science/paper/Y6Z3LQY2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.2739&json=true","fetch_graph":"https://pith.science/api/pith-number/Y6Z3LQY2ABE4H74JSCT5VMZTGX/graph.json","fetch_events":"https://pith.science/api/pith-number/Y6Z3LQY2ABE4H74JSCT5VMZTGX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX/action/storage_attestation","attest_author":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX/action/author_attestation","sign_citation":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX/action/citation_signature","submit_replication":"https://pith.science/pith/Y6Z3LQY2ABE4H74JSCT5VMZTGX/action/replication_record"}},"created_at":"2026-05-18T01:55:16.236746+00:00","updated_at":"2026-05-18T01:55:16.236746+00:00"}